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Titlebook: Complex Variables with Applications; S. Ponnusamy,Herb Silverman Textbook 2006 Birkhäuser Boston 2006 Algebra.Complex analysis.Meromorphic

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楼主: Monroe
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Power Series,e. But if a certain “rapport” exists between the sequence of functions and the set, then the limit function will be forced to confirm to definite standards established by the sequence. This stronger type of convergence, in which the set takes precedence over its points, is called ..
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Laurent Series and the Residue Theorem,discuss different ways of characterizing isolated singularities. The complex integration machinery that was built in Chapter 7 and developed in Chapter 8 is now ready to be utilized in order to evaluate definite integrals of real-valued functions.
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Bilinear Transformations and Mappings, map circles and straight lines onto circles and straight lines. In fact, we will discover that—contrary to popular belief—a circle is very similar to a straight line, at least in the extended complex plane. We also determine the most general form of bilinear transformation which maps
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https://doi.org/10.1007/3-540-32982-X map circles and straight lines onto circles and straight lines. In fact, we will discover that—contrary to popular belief—a circle is very similar to a straight line, at least in the extended complex plane. We also determine the most general form of bilinear transformation which maps
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Arie Hans Verkuil,Angela Milesiives of all orders and may be represented by a power series. The fundamental theorem of algebra is proved in several different ways. In fact, there is such a nice relationship between the different theorems in this chapter that it seems any theorem worth proving is worth proving twice.
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https://doi.org/10.1007/978-3-658-10082-7 for which no such extension exists. Finally, we apply our knowledge of analytic continuation to two of the most important functions in analysis, the gamma function and the Riemann-zeta function, defined originally by a definite integral and an infinite series, respectively.
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Analytic Continuation, for which no such extension exists. Finally, we apply our knowledge of analytic continuation to two of the most important functions in analysis, the gamma function and the Riemann-zeta function, defined originally by a definite integral and an infinite series, respectively.
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